115944768 has 84 divisors (see below), whose sum is σ = 335793588. Its totient is φ = 38246400.

The previous prime is 115944757. The next prime is 115944781. The reversal of 115944768 is 867449511.

115944768 is a `hidden beast` number, since 11 + 594 + 47 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100641024 + 15303744 = 10032^2 + 3912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57180 + ... + 59172.

Almost surely, 2^115944768 is an apocalyptic number.

115944768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167896794).

115944768 is an abundant number, since it is smaller than the sum of its proper divisors (219848820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115944768 is a wasteful number, since it uses less digits than its factorization.

115944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2099 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 115944768 is about 10767.7652277527. The cubic root of 115944768 is about 487.6224796792.

The spelling of 115944768 in words is "one hundred fifteen million, nine hundred forty-four thousand, seven hundred sixty-eight".